In 8 , the authors used normal form theory to construct Lyapunov functions for critical nonlinear systems in normal form coordinates. In this work, the authors expand on those ideas by providing a method for constructing the associated normal form transformations that gives rise to the systematic de
โฆ LIBER โฆ
A new construction of perfect nonlinear functions using Galois rings
โ Scribed by Tao Feng
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 128 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1063-8539
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โฆ Synopsis
Abstract
For a prime p, we give a construction of perfect nonlinear functions from โค to โค when either of the following conditions holds: (1) nโฅp; (2) n<p, and n is a composite number or is the sum of positive composite numbers. It follows that when nโฅ12, there is a perfect nonlinear function from โค to โค for any prime p. ยฉ 2009 Wiley Periodicals, Inc. J Combin Designs 17: 229โ239, 2009
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